tmux is a usable and open source
terminal multiplexer (that allows one to run several programs in the same
terminal, detach them, split them into windows and viewports, etc.) which
I've been happily using after switching to it from GNU screen. Some weeks
ago, I noticed that if I keep tmux open in a
konsole tab, then
eventually that tab got highlighted as modified, even if there was no activity
in the tab. I realised the problem had to do with the fact that tmux displays
the current time by default.

In order to fix it, you can use a line like the following in your
~/.tmux.conf file:

set -g status-right '#H'

-g applies the assignment globally, and '#H'
displays the hostname (and not the time or whatever else is there by default).

While searching for an answer, I ran into the
powerline project
which provides much more functionality, seems like an overkill for me,
but may work for you.